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Finding the Third Proportional to 456,169 and 657,095

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Solution

The third proportional to 456,169 and 657,095 is: 946,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,169 : 657,095 = 657,095 : x
  2. Step 2: Convert to fraction form
    456,169/657,095 = 657,095/x
  3. Step 3: Cross multiply
    456,169x = 657,095 × 657,095
  4. Step 4: Simplify right side
    456,169x = 431,773,839,025
  5. Step 5: Solve for x
    x = 431,773,839,025/456,169
  6. Step 6: Final answer
    x = 946,521.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.